249399000 has 160 divisors (see below), whose sum is σ = 872071200. Its totient is φ = 66484800.

The previous prime is 249398983. The next prime is 249399001. The reversal of 249399000 is 993942.

It is a super-2 number, since 2×249399000² = 124399722402000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249399001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79461 + ... + 82539.

It is an arithmetic number, because the mean of its divisors is an integer number (5450445).

Almost surely, 2^249399000 is an apocalyptic number.

249399000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249399000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436035600).

249399000 is an abundant number, since it is smaller than the sum of its proper divisors (622672200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249399000 is a wasteful number, since it uses less digits than its factorization.

249399000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 249399000 is about 15792.3715761756. The cubic root of 249399000 is about 629.4553115192.

The spelling of 249399000 in words is "two hundred forty-nine million, three hundred ninety-nine thousand".